3 ms·
Pythagorean hodograph curves may be impractical, but they're a pretty theoretically cute idea. Farouki's book is nice. (From what I can tell PH curves are rare
by jacobolus 2y ago
Pythagorean hodograph curves may be impractical, but they're a pretty theoretically cute idea. Farouki's book is nice.
(From what I can tell PH curves are rarely if ever used in practice. They were ostensibly developed for CNC machining and robot motion planning, etc., but are there real products or even serious physical research projects implementing them? What they do have going for them is a huge pile of research papers, of highly variable quality – Google Scholar turns up >2,500 entries.)
- LiamPowell 2y agoWe're using them in practice for C⁴ corner smoothing in a motion controller [1]. All credit for the actual maths to [2]. [1]: https://github.com/Prunt3D/prunt_notebooks/blob/master/Pythagorean-Hodograph%20Splines.ipynb https://github.com/Prunt3D/prunt_notebooks/blob/master/Pytha... [2]: https://link.springer.com/article/10.1007/s00170-022-09463-y https://link.springer.com/article/10.1007/s00170-022-09463-y
- jacobolus 2y agoThanks for the links! What's Prunt, and does it have a website?
- LiamPowell 2y ago> What's Prunt, and does it have a website? A motion controller for 3D printers (notably with crackle-constrained trajectory planning), and no website since it is still in the early stages.